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634940000 = 255453599
BaseRepresentation
bin100101110110000…
…110101001100000
31122020202021221022
4211312012221200
52300021040000
6143000545012
721506621012
oct4566065140
91566667838
10634940000
112a6452902
12158782168
13a1710256
14604801b2
153ab20585
hex25d86a60

634940000 has 120 divisors (see below), whose sum is σ = 1594177200. Its totient is φ = 248768000.

The previous prime is 634939997. The next prime is 634940003. The reversal of 634940000 is 49436.

It is an interprime number because it is at equal distance from previous prime (634939997) and next prime (634940003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634940003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1059701 + ... + 1060299.

It is an arithmetic number, because the mean of its divisors is an integer number (13284810).

Almost surely, 2634940000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797088600).

634940000 is an abundant number, since it is smaller than the sum of its proper divisors (959237200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

634940000 is an equidigital number, since it uses as much as digits as its factorization.

634940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 634940000 is about 25198.0157948994. The cubic root of 634940000 is about 859.4967309653.

Adding to 634940000 its reverse (49436), we get a palindrome (634989436).

The spelling of 634940000 in words is "six hundred thirty-four million, nine hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 125 160 200 212 250 265 400 424 500 530 599 625 800 848 1000 1060 1198 1250 1325 1696 2000 2120 2396 2500 2650 2995 4000 4240 4792 5000 5300 5990 6625 8480 9584 10000 10600 11980 13250 14975 19168 20000 21200 23960 26500 29950 31747 33125 42400 47920 53000 59900 63494 66250 74875 95840 106000 119800 126988 132500 149750 158735 212000 239600 253976 265000 299500 317470 374375 479200 507952 530000 599000 634940 748750 793675 1015904 1060000 1198000 1269880 1497500 1587350 2396000 2539760 2995000 3174700 3968375 5079520 5990000 6349400 7936750 11980000 12698800 15873500 19841875 25397600 31747000 39683750 63494000 79367500 126988000 158735000 317470000 634940000